"Dear Professor Mueller, may I ask what this 'bastard' Manning has done to you?" asked Shen Qi with great concern, he has a strong interest in the history of mathematics. шщш.(vii) (ix) x.S.сом The update is so fast.

Whether it is the history of ancient mathematics or the history of modern mathematics, Shen Qi has a certain research experience.

In his sophomore year of high school, when he was training in the provincial Olympiad team, ancient Babylonian mathematics introduced Shen Qi into the vast history of mathematics, and his interest and research in the history of mathematics began at that time.

Shen Qi can tell some anecdotes about any mathematician who is a little famous, unless the mathematician's daily life is lackluster.

In the history of modern mathematics, Shen Qi had never heard of the character of Tony Manning, and he was very interested in learning about it.

"People are so close to each other, but souls are so far apart. Professor Mueller sighed with emotion, recalling the New Jersey past between him and Tony Manning in the tone of a black-and-white documentary.

In the seventies and eighties of the last century, Müller followed his mentor Gödel in Princeton, and accompanied the mathematician Gödel through the last period of his life.

According to Müller's recollection, this was his most important period, his academic maturity and stereotype.

In addition to his academic achievements, Müller also gained love and friendship during that time.

Mueller fell in love, and he fell in love with an American girl.

The American girl is kind, 'sexy', passionate, beautiful, a dancer in a club, she also loves Muller, and the love between the two quickly warms up, and after three months of acquaintance, they enter the palace of marriage.

At the same time, Mueller befriended his important academic partner, Tony Manning, a young American with well-developed muscles.

The two young mathematicians were highly academically aligned, and the two worked together on a number of successful projects, including Tony Manning being nominated for the MacArthur Genius Grant, an award given only to scientific geniuses in the United States.

But Tony Manning has a bad hobby, he loves to gamble and often tries his luck in Atlantic City, which is not far away.

Tony Manning, who is 'proficient' in mathematics, was lucky, and he won nine out of ten bets while others lost nine out of ten.

And Manning was able to control his 'desire', and every time he got a dollar or two thousand or even a few hundred dollars, he would leave the casino, and then 'spend' a lot of wine and be unhappy.

Even with care, the unexpected happened.

At one point, Tony Manning missed, he failed to suppress his devilish impulses and gambled big, losing all his savings overnight and leaving him in debt of up to $150,000.

The usury is calculated at the daily interest, and if the money of the Black Society is not repaid when it expires, the consequences will be very serious.

Unable to pay back, Tony Manning fills the magazines of his revolver with bullets and prepares to see God in one fell swoop.

It was Mueller who saved Manning's life, and Mueller helped Manning pay off his debts.

To do this, Muller 'spent' all his money and sold one of his two limited-edition classic cars.

Manning was unable to repay the favor and vowed to repay Damuller with his life and faith.

The "Miller-Manning theorem" was proposed during this period, and Manning played a certain role in the conjecture and proof of the theorem, and the performance was extremely positive.

Then Mueller went on a business trip to Europe, and because the meeting was temporarily canceled in the middle of the meeting, Mueller returned to the United States early.

Opening the door, Muller found that his wife and Manning were staging a 'passionate' love scene in the living room, and the 'excitement' was so that the sofa pillows were torn......

......

"The house smelled so filthy that I wanted to kill them and kill myself. Decades later, Müller is still haunted: "But I didn't kill anyone, I left the United States and returned to Germany, where I found a new job at the University of Bonn." ”

"'Bastard', Manning, this God-killed 'bastard'! Ungrateful super scumbag, he must go to hell!" Shen Qi slammed the table angrily, understood, this history of mathematics was understood.

The wealthy and righteous German middle-class scholars raised American white-eyed wolves who were only 'fine' at eating, drinking, prostituting and gambling.

The summary is that I, Mueller, treat you Manning as a brother, help you pay off your gambling debts, and avoid the tragic fate of being tied up and thrown into the Atlantic Ocean to feed the fish, but you Manning sleeps with my wife and tears up my couch pillows.

Returning to Germany, Müller found a divorced German 'female' accountant, and the two married, both for the second time.

"My current wife is very nice and gentle, so let the past pass. "After recounting the history of the stinging 'radical' in a sad and indignant mood, Müller returned to his normal state of mind.

"I'm sorry to hear that, Professor Müller. Shen Qi felt sorry for Professor Müller, and at the same time, he was also 'excited' to share with him this unforgettable past that he wanted to commit suicide.

This shows that Professor Muller did not treat Shen Qi as an outsider and was given green by his best brother, and he needed great courage to speak out, and he would only tell his confidants.

"Shen Qi, you must not get involved in gambling, otherwise I will not recognize me as your mentor. Mueller solemnly admonished Shen Qi.

"I don't have any interest in gambling in any form. Don't worry, I'll never touch this thing in my life. Shen Qi said solemnly.

Muller nodded with satisfaction: "Good boy, let's discuss the re-proof of the 'Mill-Shen theorem' in detail." ”

"Okay, let's get started now. ”

Strictly speaking, the "Miller-Shen theorem" can only be called the "Miller-Shen hypothesis" at this stage.

Anyone has the right to make assumptions or conjectures of any kind and post them on the world's largest public website.

"I predict that there must be life on planets 3.28 million light-years away from Earth, with similar body structures and civilization forms to humans, and we can be friends. ”

This is a conjecture, put forward by a 13-year-old middle school student in Ohio, USA, and posted on his mother's Twitter, which attracted many fans to watch and like.

If scientists can't produce strong evidence to disprove a middle school student's hypothesis, the conjecture will persist until it is proven or disproved.

It's just that scientists don't pay attention to a middle school student's conjecture, which has no academic value and is difficult to verify with current experimental equipment.

The attitude of scientists towards the imaginative, seemingly absurd, worthless, and unverifiable conjectures put forward by unknown people is: you can make any conjectures, and I will seriously calculate that I will lose.

Scientists often pay attention to the conjectures or hypotheses put forward by well-known scholars that are professional, logically supported, and have academic value, and are theoretically verifiable at this stage, and carry out verification.

The "Miller-Manning theorem" has professional 'nature', logical 'nature' and certain academic value, and was first jointly proposed by Mill and Manning.

In Shen Qi's view, the three assertions of the "Muller-Manning theorem" are theoretically valid, and the reason why they have not been recognized by the IMU for more than 30 years is because there are leaks in the proof part.

That kind of stabbing 'exciting' happened between Mueller, Manning, and Mueller's ex-wife, and Mueller and Manning have not seen each other for more than 30 years.

As a result, the revision of the "Mueller-Manning theorem" was interrupted, spanning a century, and dragging it out to the 21st century.

The late Manning was blacklisted by Mueller, and now Shen Qi takes Manning's place to complete the follow-up work.

The "Mill-Shen theorem" follows the three assertions of the "Mill-Manning theorem" word for word, and the core work is to use the mathematical methods of the 21st century to complete rigorous proofs.

More than 30 years have passed, mathematics is advancing, classical theories are still classical, and specific methods of dealing with them are being updated.

After a week of discussions, Shen Qi believes that the definition of 'pressing' should be redefined.

This is the premise, the foundation, the weapon.

Muller agrees with Shen Qi's thinking setting, and he seems to have regained the 'excitement' when he was immersed in his studies.

"Recall the history of 'approximation' and the related definition, which was first proposed by Jefimov, as a 'sexual' property of Banach space, can guarantee that any x∈x has an optimal 'approximation' element in the non-empty convex set. Shen Qi found a push for literature, and while doing professional topics, he also sorted out the history of mathematics in more depth and detail.

Shen Qi has always wanted to write a history of mathematics, and he thinks it is a very meaningful thing.

However, due to the limited level and insufficient precipitation, Shen Qi is still in the stage of conception, learning and accumulation.

Compared with the massive number of professional mathematics textbooks, there are too few books related to the history of mathematics, and the reference books of the history of mathematics are truly classic.

The most classic history of mathematics recognized in the industry is "Ancient and Modern Mathematical Thought" written by the American Klein, and Shen Qi acknowledges the academic status of this set of mathematical history.

However, this set of mathematical history written by Klein is not suitable for people other than mathematics professionals, and most of the content in the book is advanced mathematics professional theory, which may not be understood by mathematics students with poor grades.

Shen Qi's ambition is to write a history of mathematics that is both in-depth, easy to understand, and interesting.

Chinese with a score of more than 100 in mathematics (the full score is calculated as 150 points) in mathematics should be able to understand half of Shen's history of mathematics.

Those who have never hung up on high mathematics in college should be able to understand ninety percent of the content of Shen's history of mathematics.

Even if you don't know mathematics at all, as long as you can recognize the words, you should be able to understand one-fifth of the content of Shen's history of mathematics.

This is Shen Qi's setting for a history of mathematics that can be widely circulated, and he hopes to accomplish this meaningful thing.

"Yes, I remember in the late '70s and early '80s, Meghnison proved that x is a midpoint locally convex, and that if and only if x's closed ball is 'pressing' a close Chebyshev set. Professor Müller pulls Shen Qi back from history to reality.

"It was during that period that Professor Müller demonstrated that if c is 'approximated' to the compact set, then the projection operator is semi-continuous. Shen Qi said.

"Yes, it was probably the only worthwhile thing I did at the time. But it didn't work, and the other arguments couldn't be effectively connected, so the IMU never recognized the theorem I proposed in 1982. "When Mueller was in his sixties, he summed up his performance in his thirties, and the bottom line is that young people are inexperienced.

"So based on Professor Mill's proof, I boldly propose a new definition, please see ......" Shen Qi handed a blank piece of paper to Mill.

After reading Shen Qi's manuscript, Müller said with great certainty: "I think IMU will recognize the 'Müller-Shen theorem' within three months." ”

"Maybe it should be called 'Shen-Mill theorem', Shen Qi, you have made a greater contribution. Professor Müller added.